manuscripta mathematica

, Volume 112, Issue 4, pp 511–517 | Cite as

Injectivity of the symmetric map for line bundles

  • Montserrat Teixidor i bigasEmail author


Let C be a generic non-singular curve of genus g defined over a field of characteristic different from two. We show that for every line bundle on C of degree at most g+1, the natural product map \({{S^2(H^0(C,L))\rightarrow H^0(C,L^2)}}\) is injective. We also show that the bound on the degree of L is sharp


Natural Product Line Bundle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Mathematics DepartmentTufts UniversityMedfordUSA

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